Morphisms from Hecke algebras to graphic Temperley-Lieb algebras

DOI10.1016/J.JALGEBRA.2019.01.002zbMath1414.20003OpenAlexW2908878179WikidataQ128627039 ScholiaQ128627039MaRDI QIDQ1727700

Zhi Chen

Publication date: 20 February 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.01.002

zbMATH Keywords

Hecke algebrasgraphic Temperley-Lieb algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of finite groups of Lie type (20C33) Associative rings and algebras arising under various constructions (16S99)

Cites Work

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• The Lusztig isomorphism for Hecke algebras of dihedral type
• State models and the Jones polynomial
• Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors
• BMW algebras of simply laced type.
• Flat connections and Brauer type algebras.
• Artin-Gruppen und Coxeter-Gruppen
• An introduction to right-angled Artin groups.
• Brauer algebras of simply laced type.
• GENERALIZED TEMPERLEY–LIEB ALGEBRAS AND DECORATED TANGLES
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem
• Structure of a Hecke algebra quotient

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